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Finding the Third Proportional to 709,226 and 1,567,494

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Solution

The third proportional to 709,226 and 1,567,494 is: 3,464,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,226 : 1,567,494 = 1,567,494 : x
  2. Step 2: Convert to fraction form
    709,226/1,567,494 = 1,567,494/x
  3. Step 3: Cross multiply
    709,226x = 1,567,494 × 1,567,494
  4. Step 4: Simplify right side
    709,226x = 2,457,037,440,036
  5. Step 5: Solve for x
    x = 2,457,037,440,036/709,226
  6. Step 6: Final answer
    x = 3,464,392.79

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.